Vladimir N. Potapov

According to our database, Vladimir N. Potapov authored at least 42 papers between 1999 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

An asymptotic lower bound on the number of bent functions.

Vladimir N. Potapov, Anna A. Taranenko, Yuriy V. Tarannikov

Des. Codes Cryptogr., March, 2024

Singleton mesh patterns in multidimensional permutations.

Sergey V. Avgustinovich, Sergey Kitaev, Jeffrey Liese, Vladimir N. Potapov, Anna A. Taranenko

J. Comb. Theory A, January, 2024

An upper bound on the number of frequency hypercubes.

Denis S. Krotov, Vladimir N. Potapov

Discret. Math., January, 2024

2023

Every latin hypercube of order 5 has transversals.

A. L. Perezhogin, Vladimir N. Potapov, S. Yu. Vladimirov

CoRR, 2023

Existence of balanced functions that are not derivative of bent functions.

Vladimir N. Potapov

CoRR, 2023

Upper bounds on the numbers of binary plateaued and bent functions.

Vladimir N. Potapov

CoRR, 2023

2022

DP-Colorings of Uniform Hypergraphs and Splittings of Boolean Hypercube into Faces.

Vladimir N. Potapov

Electron. J. Comb., 2022

2021

On Multifold Packings of Radius-1 Balls in Hamming Graphs.

Denis S. Krotov, Vladimir N. Potapov

IEEE Trans. Inf. Theory, 2021

On Weight Spectrum of Linear Codes.

Vladimir N. Potapov

Proceedings of the XVII International Symposium "Problems of Redundancy in Information and Control Systems", 2021

An Upper Bound on the Number of Bent Functions.

Vladimir N. Potapov

Proceedings of the XVII International Symposium "Problems of Redundancy in Information and Control Systems", 2021

2020

Graeco-Latin cubes.

Vladimir N. Potapov

Dataset, December, 2020

On q-ary bent and plateaued functions.

Vladimir N. Potapov

Des. Codes Cryptogr., 2020

2019

On the Cardinality Spectrum and the Number of Latin Bitrades of Order 3.

Denis S. Krotov, Vladimir N. Potapov

Probl. Inf. Transm., 2019

On shortening u-cycles and u-words for permutations.

Sergey Kitaev, Vladimir N. Potapov, Vincent Vajnovszki

Discret. Appl. Math., 2019

Constructions of Pairs of Orthogonal Latin Cubes.

Vladimir N. Potapov

CoRR, 2019

On the number of autotopies of an n-ary qusigroup of order 4.

Denis S. Krotov, Evgeny V. Gorkunov, Vladimir N. Potapov

CoRR, 2019

A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity.

Vladimir N. Potapov

Proceedings of the XVI International Symposium "Problems of Redundancy in Information and Control Systems", 2019

On Minimal Distance between q-ary Plateaued Functions.

Vladimir N. Potapov

Proceedings of the XVI International Symposium "Problems of Redundancy in Information and Control Systems", 2019

On two-fold packings of radius-1 balls in Hamming graphs.

Denis S. Krotov, Vladimir N. Potapov

Proceedings of the IEEE International Symposium on Information Theory, 2019

2016

Gray coding cubic planar maps.

Sergey V. Avgustinovich, Sergey Kitaev, Vladimir N. Potapov, Vincent Vajnovszki

Theor. Comput. Sci., 2016

Constructions of transitive latin hypercubes.

Denis S. Krotov, Vladimir N. Potapov

Eur. J. Comb., 2016

To the theory of q-ary Steiner and other-type trades.

Denis S. Krotov, Ivan Yu. Mogilnykh, Vladimir N. Potapov

Discret. Math., 2016

On the number of transversals in latin squares.

Vladimir N. Potapov

Discret. Appl. Math., 2016

On minimal distance between q-ary bent functions.

Vladimir N. Potapov

CoRR, 2016

2015

Linear codes for an effective quantization of data.

Vladimir N. Potapov

CoRR, 2015

Gray coding planar maps.

Sergey V. Avgustinovich, Sergey Kitaev, Vladimir N. Potapov, Vincent Vajnovszki

CoRR, 2015

2014

Propelinear 1-Perfect Codes From Quadratic Functions.

Denis S. Krotov, Vladimir N. Potapov

IEEE Trans. Inf. Theory, 2014

Scalar-quantization-based multi-layer data hiding for video coding applications.

Alexey Filippov, Vasily Rufitskiy, Vladimir N. Potapov

Proceedings of the 2014 IEEE Visual Communications and Image Processing Conference, 2014

2013

Construction of transitive MDS codes

Denis S. Krotov, Vladimir N. Potapov

CoRR, 2013

Transitive 1-perfect codes from quadratic functions

Denis S. Krotov, Vladimir N. Potapov

CoRR, 2013

What could be after HEVC?

Vladimir N. Potapov, Nikolay Shlyakhov, Albert Silantiev, Mikhail Tchobanou

Proceedings of the 9th International Conference on Information, 2013

2012

Cardinality spectra of components of correlation immune functions, bent functions, perfect colorings, and codes.

Vladimir N. Potapov

Probl. Inf. Transm., 2012

On perfect 2-colorings of the q-ary n-cube.

Vladimir N. Potapov

Discret. Math., 2012

2011

On connection between reducibility of an n-ary quasigroup and that of its retracts.

Denis S. Krotov, Vladimir N. Potapov

Discret. Math., 2011

2010

On switching equivalence of <i>n</i>-ary quasigroups of order 4 and perfect binary codes.

Denis S. Krotov, Vladimir N. Potapov

Probl. Inf. Transm., 2010

2009

n-Ary Quasigroups of Order 4.

Denis S. Krotov, Vladimir N. Potapov

SIAM J. Discret. Math., 2009

2004

On Multifold MDS and Perfect Codes That Are Not Splittable into Onefold Codes.

Denis S. Krotov, Vladimir N. Potapov

Probl. Inf. Transm., 2004

Complexity: an internet resource for analysis of DNA sequence complexity.

Yuri L. Orlov, Vladimir N. Potapov

Nucleic Acids Res., 2004

Redundancy estimates for the Lempel-Ziv algorithm of data compression.

Vladimir N. Potapov

Discret. Appl. Math., 2004

2003

Internet-Available Software Packages for Analysis of DNA Sequence Complexity.

Yuri L. Orlov, Vladimir D. Gusev, Lubov A. Nemytikova, Vladimir N. Potapov, Nadia A. Kolchanov

Proceedings of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Scienes, 2003

2002

Construction of stochastic context trees for genetical texts.

Yuri L. Orlov, V. P. Filippov, Vladimir N. Potapov, Nikolay A. Kolchanov

Silico Biol., 2002

1999

Rapid Encoding of Run Lengths and Pyramid Cubic Lattices.

Rafail E. Krichevskiy, Vladimir N. Potapov

IEEE Trans. Inf. Theory, 1999